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Finding the Fourth Proportional to 653.90, 902.68 and 421.16

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Solution

The fourth proportional to 653.90, 902.68 and 421.16 is: 581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.90 : 902.68 = 421.16 : x
  2. Step 2: Convert to fraction form
    653.90/902.68 = 421.16/x
  3. Step 3: Cross multiply
    653.90x = 902.68 × 421.16
  4. Step 4: Simplify right side
    653.90x = 380,172.71
  5. Step 5: Solve for x
    x = 380,172.71/653.90
  6. Step 6: Final answer
    x = 581.39

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.